Development of Malay Deli Songket Motifs Based on Symmetry Groups

Authors

  • Rizka Annisa Mingka Jurusan Matematika, Universitas Negeri Medan
  • Dinda Kartika Jurusan Matematika, Universitas Negeri Medan
  • Fevi Rahmawati Suwanto Jurusan Matematika, Universitas Negeri Medan

DOI:

https://doi.org/10.31764/jtam.v7i1.10279

Keywords:

Songket, Malay Deli, Frieze Pattern, Crystallographic Patterns, Matlab.

Abstract

One of the tribes in North Sumatra Province that has a wide variety of art is the Deli Malays, especially the Songket motifs. Songket is a type of traditional Indonesian weaving that should be preserved to maintain Indonesia’s wealth. The motifs in the Malay Deli Songket can be analyzed because of its symmetrical pattern. In this study, the author developed the Malay Deli Songket motif based on the concept of the symmetry group. The motif development was carried out with the Matlab program based on the frieze group pattern and the crystallography group pattern. The Frieze pattern, often called the Frieze Group, is a symmetry group created from one-way translation, forming a linear pattern that repeats one way. The crystallography group has 17 crystallographic patterns formed by a specific transformation from each type of unit lattice. Through the development of motifs, 6 new Songket motifs were obtained based on the Frieze pattern in 11 observed Malay Deli Songket motifs, namely the Moon Orchid motif, the Orchid motif, the Balong Ayam motif, the Coffee Flowers motif, the Tobacco Leaves 1 and 2 motifs, the Corn motif, the Paddy motif, the Tampuk Manggis motif, the Tobacco motif, and the Ulam Raja motif. In 4 previously observed Malay Deli Songket motifs, 11 new Songket motifs were obtained for crystallography patterns: the Deli Tobacco Leaves motif, the Coffee motif, the Tampuk Gelugor motif, and the Undang Kupu-Kupu motif.

 

References

Andriani, L., Muchyidin, A., & Raharjo, H. (2020). Frieze Group Pattern in Buyung Dance Formation. Eduma : Mathematics Education Learning and Teaching, 9(2), 11.

Astriandini, M. G., & Kristanto, Y. D. (2021). Kajian Etnomatematika Pola Batik Keraton Surakarta Melalui Analisis Simetri. Mosharafa: Jurnal Pendidikan Matematika, 10(1), 13–24.

Fran, F., Ramadhani, E. W., & Helmi, H. (2017). Identifikasi Pola Simetri Menggunakan Teori Grup. Prosiding Seminar Penelitian Dan Pengabdian Pada Masyarakat, 61–65.

Gallian, J. (2021). Contemporary Abstract Algebra. In Contemporary Abstract Algebra. Chapman and Hall/CRC.

Garnadi, A. D., Guritman, S., Kusnanto, A., & Hanum, F. (2012). Survey Pola Grup Kristalografi Bidang Ragam Batik Tradisional. JMA, 11, 1–10.

Garnadi, A. D., Hanum, F., & Utomo, P. H. (2018). Pembangkitan Ragam Batik Kontemporer Dengan Pola Mengikuti Grup Kristalografi Bidang.

Irwansyah, I., & Heldiansyah, H. (2021). Penerapan Ornamen Melayu Deli pada Rancangan Desain Interior Masjid Pasujudan Jannatun Naim. PROPORSI : Jurnal Desain, Multimedia Dan Industri Kreatif, 6(2), 103–113.

Kartika, D., Suwanto, F. R., Niska, D. Y., & Ilmiyah, N. F. (2022). Analysis of frieze and crystallographic patterns of North Sumatran Malay songket textile. Journal of Physics: Conference Series, 2193(1).

Liu, Y., & Collins, R. T. (1998). Frieze and Wallpaper Symmetry Groups Classification under Affine and Perspective Distortion (Issue August 1999).

Martini, D., Sutrisno, B., Zuhaeri, A., & Setiawan, Y. (2021). Urgensi Perlindungan Kekayaan Intelektual Atas Motif Kain Tenun Lombok dalam Rangka Meningkatkan Pemberdayaan Perempuan Adat di Desa Sukarara. Prosiding PEPADU 2021, 3(3), 455–464.

Mulyaningsih, S. (2018). Kristalografi & Mineralogi. In Journal of Chemical Information and Modeling (Vol. 1).

Nataliani, Y., Wellem, T., & Iriani, A. (2021). Pembangkitan pola menggunakan konsep grup kertas dinding. Aiti, 18(1), 1–13.

Nggumbe, C. L. B., Mayasari, K., & Jamco, T. H. M. (2018). Pola Frieze pada Batik Papua. Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika, 44–49.

Panamuan, R. C., & Fran, F. (2018). Pada kreasi seni dekoratif khas dayak. 07(4), 239–246.

Panjaitan, M. C., Kartika, D., Suwanto, F. R., & Niska, D. Y. (2022). Kajian Etnomatematika Motif Songket Melayu Deli Berdasarkan Pola Frieze dan Pola Kristalografi. PRISMA, Prosiding Seminar Nasional Matematika 5, 5, 675–684.

Purwanti, R., & Siregar, S. M. (2016). Sejarah songket berdasarkan data arkeologi. Siddhayatra, 21(2), 97–106.

Radiusman, & Juniati, D. (2022). Kajian Etnomatematika Kain Tenun Lombok berdasarkan Pola Geometri Wallpaper dan Pola Geometri Frieze. 11(3), 1909–1923.

Rahayu, A. P., Snae, M., & Bani, S. (2020). Etnomatematika Pada Kain Tenun Lipa Kaet. MEGA: Jurnal Pendidikan Matematika, 1(1), 16–24.

Rahmawati, A., Helmi, H., & Fran, F. (2018). Frieze Group pada Seni Dekoratif Mesjid. Buletin Ilmiah Math, Stat, Dan Terapannya, 7(1), 23–32.

Ray, S., & Natalin, Y. (2022). Pengolahan Citra Digital pada Pembuatan Motif Keramik Menggunakan Grup Simetri. Pengolahan Citra Digital Pada Pembuatan Motif Krtamik, 13, 11–20.

Rohani, S. (2021). Pengembangan Desai Batik Melalui Geometri Fraktal Koch Snowflake. In Digital Repository Universitas Jember (Issue September 2019).

Schattschneider, D. (2018). The Plane Symmetry Groups: Their Recognition and Notation. 85(6), 439–450.

Silalahi, R., Kartika, D., Suwanto, F. R., & Niska, D. Y. (2022). Pola Frieze dalam Kain Batik Sumatera Utara. 5, 667–674.

Suwanto, F. R., Kartika, D., & Niska, D. Y. (2022). Ethnomathematics : An analysis of frieze and crystallographic patterns on Ulos Ethnomathematics : An Analysis of Frieze and Crystallographic Patterns on Ulos. 110021.

Viatra, A. W., & Triyanto, S. (2014). Seni Kerajinan Songket Kampoeng Tenundi Indralaya, Palembang. Ekspresi Seni, 16(2), 168.

Published

2023-01-12

Issue

Section

Articles